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Simplifying (2x) * x = (4x) * 3 Remove parenthesis around (2x) 2x * x = (4x) * 3 Multiply x * x 2x2 = (4x) * 3 Remove parenthesis around (4x) 2x2 = 4x * 3 Reorder the terms for easier multiplication: 2x2 = 4 * 3x Multiply 4 * 3 2x2 = 12x Solving 2x2 = 12x Solving for variable 'x'. Reorder the terms: -12x + 2x2 = 12x + -12x Combine like terms: 12x + -12x = 0 -12x + 2x2 = 0 Factor out the Greatest Common Factor (GCF), '2x'. 2x(-6 + x) = 0 Ignore the factor 2.Subproblem 1
Set the factor 'x' equal to zero and attempt to solve: Simplifying x = 0 Solving x = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x = 0Subproblem 2
Set the factor '(-6 + x)' equal to zero and attempt to solve: Simplifying -6 + x = 0 Solving -6 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + x = 0 + 6 Combine like terms: -6 + 6 = 0 0 + x = 0 + 6 x = 0 + 6 Combine like terms: 0 + 6 = 6 x = 6 Simplifying x = 6Solution
x = {0, 6}
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